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Finding the Fourth Proportional to 1,268.32, 1,901.12 and 829.41

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Solution

The fourth proportional to 1,268.32, 1,901.12 and 829.41 is: 1,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.32 : 1,901.12 = 829.41 : x
  2. Step 2: Convert to fraction form
    1,268.32/1,901.12 = 829.41/x
  3. Step 3: Cross multiply
    1,268.32x = 1,901.12 × 829.41
  4. Step 4: Simplify right side
    1,268.32x = 1,576,794.29
  5. Step 5: Solve for x
    x = 1,576,794.29/1,268.32
  6. Step 6: Final answer
    x = 1,243.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.